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Optimal matching of Gaussian samples

组织者

尤瓦尔·佩雷斯 , 秦硕

演讲者

Krzysztof Ciosmak

时间

2026年03月31日 15:15 至 16:15

地点

A3-3-301

线上

Zoom 482 240 1589 (BIMSA)

摘要

We will investigate the convergence rates of the empirical measures sampled according to the Gaussian distribution. In particular, we will present a proof, due to Ledoux and Zhu, that the expected p-Wasserstein distance of the sample of $n$ points in $\mathbb{R}^d$ is of order $n^{-p/d}$. We will restrict ourselves to the case $p=2$.

演讲者介绍

After graduating from the University of Warsaw, Krzysztof Ciosmak joined the Mathematical Institute of the University of Oxford, where he defended my doctoral thesis on Optimal transport and 1-Lipschitz maps, and subsequently held a postdoctoral position. Before joining BIMSA, he held the Fields-Ontario Postdoctoral Fellowship at the University of Toronto and the Fields Institute.